93892216320 has 720 divisors, whose sum is σ = 382723941600. Its totient is φ = 21264187392.

The previous prime is 93892216283. The next prime is 93892216339. The reversal of 93892216320 is 2361229839.

It is a happy number.

93892216320 is a `hidden beast` number, since 9 + 3 + 8 + 9 + 2 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 861396426 + ... + 861396534.

It is an arithmetic number, because the mean of its divisors is an integer number (531561030).

Almost surely, 2^93892216320 is an apocalyptic number.

93892216320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93892216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191361970800).

93892216320 is an abundant number, since it is smaller than the sum of its proper divisors (288831725280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

93892216320 is an equidigital number, since it uses as much as digits as its factorization.

93892216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 93892216320 in words is "ninety-three billion, eight hundred ninety-two million, two hundred sixteen thousand, three hundred twenty".